Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. Our results are applied to a partially cooperative system describing interactions between ungulates and grass.

Original languageEnglish (US)
Pages (from-to)747-783
Number of pages37
JournalJournal of Nonlinear Science
Volume21
Issue number5
DOIs
StatePublished - Oct 1 2011

Keywords

  • Non-cooperative systems
  • Reaction-diffusion systems
  • Spreading speed
  • Traveling waves

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems'. Together they form a unique fingerprint.

Cite this